Geodesic
The singularity category of an algebra with radical square zero
Documenta mathematica, Tome 16 (2011), pp. 921-936
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To an artin algebra with radical square zero, a regular algebra in the sense of von Neumann and a family of invertible bimodules over the regular algebra are associated. These data describe completely, as a triangulated category, the singularity category of the artin algebra. A criterion on the Hom-finiteness of the singularity category is given in terms of the valued quiver of the artin algebra.
DOI : 10.4171/dm/356
Classification : 13E10, 16E50
Mots-clés : singularity category, von Neumann regular algebra, invertible bimodule, valued quiver 
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     author = {Xiao-Wu Chen},
     title = {The singularity category of an algebra with radical square zero},
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     year = {2011},
     volume = {16},
     doi = {10.4171/dm/356},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/356/}
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Xiao-Wu Chen. The singularity category of an algebra with radical square zero. Documenta mathematica, Tome 16 (2011), pp. 921-936. doi: 10.4171/dm/356

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